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380583357785472 = 2732953644829209
BaseRepresentation
bin101011010001000110111011…
…1110110010010010110000000
31211220112102011120101120110110
41112202031313312102112000
5344340434204043113342
63425233325250431320
7143110145252145522
oct12642156766222600
91756472146346413
10380583357785472
111002a154a756056
1236827730592540
1313448b1a081bca
1469da4932c7a12
152deeca7063c9c
hex15a2377d92580

380583357785472 has 128 divisors (see below), whose sum is σ = 1065515786604000. Its totient is φ = 120175529836544.

The previous prime is 380583357785437. The next prime is 380583357785473. The reversal of 380583357785472 is 274587753385083.

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

It is a junction number, because it is equal to n+sod(n) for n = 380583357785394 and 380583357785403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380583357785473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321824397 + ... + 323004812.

Almost surely, 2380583357785472 is an apocalyptic number.

380583357785472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

380583357785472 is an abundant number, since it is smaller than the sum of its proper divisors (684932428818528).

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

380583357785472 is a wasteful number, since it uses less digits than its factorization.

380583357785472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644829308 (or 644829296 counting only the distinct ones).

The product of its (nonzero) digits is 4741632000, while the sum is 75.

The spelling of 380583357785472 in words is "three hundred eighty trillion, five hundred eighty-three billion, three hundred fifty-seven million, seven hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 64 87 96 106 116 128 159 174 192 212 232 318 348 384 424 464 636 696 848 928 1272 1392 1537 1696 1856 2544 2784 3074 3392 3712 4611 5088 5568 6148 6784 9222 10176 11136 12296 18444 20352 24592 36888 49184 73776 98368 147552 196736 295104 590208 644829209 1289658418 1934487627 2579316836 3868975254 5158633672 7737950508 10317267344 15475901016 18700047061 20634534688 30951802032 34175948077 37400094122 41269069376 56100141183 61903604064 68351896154 74800188244 82538138752 102527844231 112200282366 123807208128 136703792308 149600376488 205055688462 224400564732 247614416256 273407584616 299200752976 410111376924 448801129464 546815169232 598401505952 820222753848 897602258928 991102494233 1093630338464 1196803011904 1640445507696 1795204517856 1982204988466 2187260676928 2393606023808 2973307482699 3280891015392 3590409035712 3964409976932 4374521353856 5946614965398 6561782030784 7180818071424 7928819953864 11893229930796 13123564061568 15857639907728 23786459861592 31715279815456 47572919723184 63430559630912 95145839446368 126861119261824 190291678892736 380583357785472