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1530095138976 = 253192928926481
BaseRepresentation
bin10110010001000000110…
…001101111100010100000
312102021102221221121020110
4112101000301233202200
5200032113323421401
63130525505011320
7215355120042345
oct26210061574240
95367387847213
101530095138976
1153aa008a8778
12208661923b40
13b139740c751
14540b259c7cc
1529c045179d6
hex16440c6f8a0

1530095138976 has 96 divisors (see below), whose sum is σ = 4373684078400. Its totient is φ = 466526269440.

The previous prime is 1530095138963. The next prime is 1530095138977. The reversal of 1530095138976 is 6798315900351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×15300951389762 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1530095138977) 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, 14410345 + ... + 14516136.

It is an arithmetic number, because the mean of its divisors is an integer number (45559209150).

Almost surely, 21530095138976 is an apocalyptic number.

1530095138976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1530095138976 is an abundant number, since it is smaller than the sum of its proper divisors (2843588939424).

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

1530095138976 is a wasteful number, since it uses less digits than its factorization.

1530095138976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28926542 (or 28926534 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 57.

The spelling of 1530095138976 in words is "one trillion, five hundred thirty billion, ninety-five million, one hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 304 348 456 464 551 608 696 912 928 1102 1392 1653 1824 2204 2784 3306 4408 6612 8816 13224 17632 26448 52896 28926481 57852962 86779443 115705924 173558886 231411848 347117772 462823696 549603139 694235544 838867949 925647392 1099206278 1388471088 1648809417 1677735898 2198412556 2516603847 2776942176 3297618834 3355471796 4396825112 5033207694 6595237668 6710943592 8793650224 10066415388 13190475336 13421887184 15938491031 17587300448 20132830776 26380950672 26843774368 31876982062 40265661552 47815473093 52761901344 63753964124 80531323104 95630946186 127507928248 191261892372 255015856496 382523784744 510031712992 765047569488 1530095138976