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30977972004 = 22372316398369
BaseRepresentation
bin11100110110011011…
…100101011100100100
32221221220112000202110
4130312123211130210
51001420330101004
622121525241020
72144443263120
oct346633453444
987856460673
1030977972004
1112157291961
126006563170
132bc8b8ba65
1416dc2a0580
15c14908589
hex7366e5724

30977972004 has 96 divisors (see below), whose sum is σ = 86729287680. Its totient is φ = 8414005248.

The previous prime is 30977971949. The next prime is 30977972059. The reversal of 30977972004 is 40027977903.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30977971949) and next prime (30977972059).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265732 + ... + 364100.

It is an arithmetic number, because the mean of its divisors is an integer number (903430080).

Almost surely, 230977972004 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 30977972004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43364643840).

30977972004 is an abundant number, since it is smaller than the sum of its proper divisors (55751315676).

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

30977972004 is a wasteful number, since it uses less digits than its factorization.

30977972004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98569 (or 98567 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 48.

The spelling of 30977972004 in words is "thirty billion, nine hundred seventy-seven million, nine hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 163 276 322 326 483 489 644 652 966 978 1141 1932 1956 2282 3423 3749 4564 6846 7498 11247 13692 14996 22494 26243 44988 52486 78729 98369 104972 157458 196738 295107 314916 393476 590214 688583 1180428 1377166 2065749 2262487 2754332 4131498 4524974 6787461 8262996 9049948 13574922 15837409 16034147 27149844 31674818 32068294 47512227 48102441 63349636 64136588 95024454 96204882 112239029 190048908 192409764 224478058 336717087 368785381 448956116 673434174 737570762 1106356143 1346868348 1475141524 2212712286 2581497667 4425424572 5162995334 7744493001 10325990668 15488986002 30977972004