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1225035413152 = 251731227320009
BaseRepresentation
bin10001110100111001110…
…011001111011010100000
311100010000211020212111121
4101310321303033122200
5130032333031210102
62334435024222024
7154335343126525
oct21647163173240
94303024225447
101225035413152
11432597610591
12179505a6a914
138b69c270045
144341348d14c
1521ceca55b37
hex11d39ccf6a0

1225035413152 has 96 divisors (see below), whose sum is σ = 2647655216640. Its totient is φ = 555431485440.

The previous prime is 1225035413149. The next prime is 1225035413191. The reversal of 1225035413152 is 2513145305221.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 3668124 + ... + 3988132.

It is an arithmetic number, because the mean of its divisors is an integer number (27579741840).

Almost surely, 21225035413152 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 1225035413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323827608320).

1225035413152 is an abundant number, since it is smaller than the sum of its proper divisors (1422619803488).

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

1225035413152 is a wasteful number, since it uses less digits than its factorization.

1225035413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320294 (or 320286 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 1225035413152 in words is "one trillion, two hundred twenty-five billion, thirty-five million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 227 248 272 454 496 527 544 908 992 1054 1816 2108 3632 3859 4216 7037 7264 7718 8432 14074 15436 16864 28148 30872 56296 61744 112592 119629 123488 225184 239258 320009 478516 640018 957032 1280036 1914064 2560072 3828128 5120144 5440153 9920279 10240288 10880306 19840558 21760612 39681116 43521224 72642043 79362232 87042448 145284086 158724464 168644743 174084896 290568172 317448928 337289486 581136344 674578972 1162272688 1234914731 1349157944 2251903333 2324545376 2469829462 2698315888 4503806666 4939658924 5396631776 9007613332 9879317848 18015226664 19758635696 36030453328 38282356661 39517271392 72060906656 76564713322 153129426644 306258853288 612517706576 1225035413152