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406366222663604 = 22723253866359753
BaseRepresentation
bin101110001100101101000001…
…0010110011011111110110100
31222021211020020202100120020202
41130121122002112123332310
5411230401011000213404
64000134022052420032
7151410663551501240
oct13431320226337664
91867736222316222
10406366222663604
11108531a468256a5
12396b05b5917618
131459922a3c32a8
14724c33163d420
1531ea7b844521e
hex171968259bfb4

406366222663604 has 144 divisors (see below), whose sum is σ = 865749689586432. Its totient is φ = 163420197997056.

The previous prime is 406366222663603. The next prime is 406366222663607.

406366222663604 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 406366222663604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406366222663603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6800736992 + ... + 6800796744.

It is an arithmetic number, because the mean of its divisors is an integer number (6012150622128).

Almost surely, 2406366222663604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406366222663604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432874844793216).

406366222663604 is an abundant number, since it is smaller than the sum of its proper divisors (459383466922828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406366222663604 is a wasteful number, since it uses less digits than its factorization.

406366222663604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68526 (or 68501 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 56.

The spelling of 406366222663604 in words is "four hundred six trillion, three hundred sixty-six billion, two hundred twenty-two million, six hundred sixty-three thousand, six hundred four".

Divisors: 1 2 4 7 14 23 28 46 53 92 106 161 212 322 371 529 644 742 1058 1219 1484 2116 2438 3703 4876 7406 8533 8663 14812 17066 17326 28037 34132 34652 56074 59753 60641 112148 119506 121282 196259 199249 239012 242564 392518 398498 418271 459139 785036 796996 836542 918278 1374319 1394743 1673084 1836556 2748638 2789486 3166909 3213973 4582727 5497276 5578972 6333818 6427946 9165454 9620233 10560197 12667636 12855892 18330908 19240466 21120394 22168363 31609337 32079089 38480932 42240788 44336726 63218674 64158178 72838907 73921379 88673452 126437348 128316356 145677814 147842758 221265359 242884531 291355628 295685516 442530718 485769062 509872349 517640239 885061436 971538124 1019744698 1035280478 1675294861 1700191717 2039489396 2070560956 3350589722 3400383434 3623481673 6701179444 6800766868 7246963346 11727064027 11905725497 14493926692 23454128054 23811450994 27434932667 46908256108 47622901988 54869865334 83340078479 109739730668 166680156958 192044528669 273831686431 333360313916 384089057338 547663372862 631003451341 768178114676 1095326745724 1262006902682 1916821805017 2524013805364 3833643610034 4417024159387 7667287220068 8834048318774 14513079380843 17668096637548 29026158761686 58052317523372 101591555665901 203183111331802 406366222663604