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1004150455104 = 26319745675813
BaseRepresentation
bin11101001110011000000…
…01111111101101000000
310112222212222020101112110
432213030001333231000
5112423000004030404
62045144513055320
7132355533016146
oct16471401775500
93488788211473
101004150455104
11357948832285
1214273bb57540
13738ca118334
143685b763596
151b1c0d0ab89
hexe9cc07fb40

1004150455104 has 112 divisors (see below), whose sum is σ = 2671345277568. Its totient is φ = 332887554048.

The previous prime is 1004150455081. The next prime is 1004150455123. The reversal of 1004150455104 is 4015540514001.

1004150455104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172739302 + ... + 172745114.

Almost surely, 21004150455104 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 1004150455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335672638784).

1004150455104 is an abundant number, since it is smaller than the sum of its proper divisors (1667194822464).

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

1004150455104 is a wasteful number, since it uses less digits than its factorization.

1004150455104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10592 (or 10582 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 1004150455104 its reverse (4015540514001), we get a palindrome (5019690969105).

The spelling of 1004150455104 in words is "one trillion, four billion, one hundred fifty million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1182 1576 2364 3152 4567 4728 5813 6304 9134 9456 11626 12608 13701 17439 18268 18912 23252 27402 34878 36536 37824 46504 54804 69756 73072 93008 109608 139512 146144 186016 219216 279024 292288 372032 438432 558048 876864 899699 1116096 1145161 1799398 2290322 2699097 3435483 3598796 4580644 5398194 6870966 7197592 9161288 10796388 13741932 14395184 18322576 21592776 26547971 27483864 28790368 36645152 43185552 53095942 54967728 57580736 73290304 79643913 86371104 106191884 109935456 159287826 172742208 212383768 219870912 318575652 424767536 637151304 849535072 1274302608 1699070144 2548605216 5097210432 5229950287 10459900574 15689850861 20919801148 31379701722 41839602296 62759403444 83679204592 125518806888 167358409184 251037613776 334716818368 502075227552 1004150455104