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30046572928 = 272331714637
BaseRepresentation
bin11011111110111010…
…100101000110000000
32212112222221001102101
4123332322211012000
5443013410313203
621445254200144
72112403440661
oct337672450600
985488831371
1030046572928
1111819563a59
1259a6653054
132aaac20648
1416506cd368
15bacc7841d
hex6feea5180

30046572928 has 128 divisors (see below), whose sum is σ = 65398026240. Its totient is φ = 13707724800.

The previous prime is 30046572923. The next prime is 30046572937. The reversal of 30046572928 is 82927564003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30046572923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6477426 + ... + 6482062.

It is an arithmetic number, because the mean of its divisors is an integer number (510922080).

Almost surely, 230046572928 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 30046572928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32699013120).

30046572928 is an abundant number, since it is smaller than the sum of its proper divisors (35351453312).

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

30046572928 is a wasteful number, since it uses less digits than its factorization.

30046572928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 30046572928 in words is "thirty billion, forty-six million, five hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 71 92 124 128 142 184 248 284 368 496 568 713 736 992 1136 1426 1472 1633 1984 2201 2272 2852 2944 3266 3968 4402 4544 4637 5704 6532 8804 9088 9274 11408 13064 17608 18548 22816 26128 35216 37096 45632 50623 52256 70432 74192 91264 101246 104512 106651 140864 143747 148384 202492 209024 213302 281728 287494 296768 329227 404984 426604 574988 593536 658454 809968 853208 1149976 1316908 1619936 1706416 2299952 2633816 3239872 3306181 3412832 4599904 5267632 6479744 6612362 6825664 7572221 9199808 10206037 10535264 13224724 13651328 15144442 18399616 20412074 21070528 26449448 30288884 40824148 42141056 52898896 60577768 81648296 105797792 121155536 163296592 211595584 234738851 242311072 326593184 423191168 469477702 484622144 653186368 938955404 969244288 1306372736 1877910808 3755821616 7511643232 15023286464 30046572928