Search a number
-
+
30952201984 = 281111539533
BaseRepresentation
bin11100110100111001…
…010001111100000000
32221220010000202221021
4130310321101330000
51001342230430414
622115205035224
72144011242634
oct346471217400
987803022837
1030952201984
1112143790520
125bb99b5b14
132bc3738222
1416d8ab2dc4
15c12517c24
hex734e51f00

30952201984 has 72 divisors (see below), whose sum is σ = 67465711152. Its totient is φ = 14055505920.

The previous prime is 30952201979. The next prime is 30952202023. The reversal of 30952201984 is 48910225903.

It is a self number, because there is not a number n which added to its sum of digits gives 30952201984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3242082 + ... + 3251614.

It is an arithmetic number, because the mean of its divisors is an integer number (937023766).

Almost surely, 230952201984 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 30952201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33732855576).

30952201984 is an abundant number, since it is smaller than the sum of its proper divisors (36513509168).

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

30952201984 is a wasteful number, since it uses less digits than its factorization.

30952201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10713 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 30952201984 in words is "thirty billion, nine hundred fifty-two million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1153 1408 2306 2816 4612 9224 9533 12683 18448 19066 25366 36896 38132 50732 73792 76264 101464 104863 147584 152528 202928 209726 295168 305056 405856 419452 610112 811712 838904 1220224 1623424 1677808 2440448 3246848 3355616 6711232 10991549 13422464 21983098 26844928 43966196 87932392 120907039 175864784 241814078 351729568 483628156 703459136 967256312 1406918272 1934512624 2813836544 3869025248 7738050496 15476100992 30952201984