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16406425392 = 243734991997
BaseRepresentation
bin11110100011110011…
…00010111100110000
31120100101120202121220
433101321202330300
5232100021103032
611311554345040
71120365213000
oct172171427460
946311522556
1016406425392
116a59aaa255
12321a58b180
131716037326
14b18d2a000
1566052812c
hex3d1e62f30

16406425392 has 160 divisors (see below), whose sum is σ = 49550400000. Its totient is φ = 4675813632.

The previous prime is 16406425363. The next prime is 16406425393. The reversal of 16406425392 is 29352460461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (16406425393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8214538 + ... + 8216534.

It is an arithmetic number, because the mean of its divisors is an integer number (309690000).

Almost surely, 216406425392 is an apocalyptic number.

16406425392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16406425392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24775200000).

16406425392 is an abundant number, since it is smaller than the sum of its proper divisors (33143974608).

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

16406425392 is a wasteful number, since it uses less digits than its factorization.

16406425392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 16406425392 in words is "sixteen billion, four hundred six million, four hundred twenty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 499 588 686 784 998 1029 1176 1372 1497 1996 1997 2058 2352 2744 2994 3493 3992 3994 4116 5488 5988 5991 6986 7984 7988 8232 10479 11976 11982 13972 13979 15976 16464 20958 23952 23964 24451 27944 27958 31952 41916 41937 47928 48902 55888 55916 73353 83832 83874 95856 97804 97853 111832 146706 167664 167748 171157 195608 195706 223664 293412 293559 335496 342314 391216 391412 513471 586824 587118 670992 684628 684971 782824 996503 1026942 1173648 1174236 1369256 1369942 1565648 1993006 2053884 2054913 2348472 2738512 2739884 2989509 3986012 4107768 4109826 4696944 5479768 5979018 6975521 7972024 8215536 8219652 10959536 11958036 13951042 15944048 16439304 20926563 23916072 27902084 32878608 41853126 47832144 48828647 55804168 83706252 97657294 111608336 146485941 167412504 195314588 292971882 334825008 341800529 390629176 585943764 683601058 781258352 1025401587 1171887528 1367202116 2050803174 2343775056 2734404232 4101606348 5468808464 8203212696 16406425392