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398978283672 = 233237487307529
BaseRepresentation
bin1011100111001001111…
…01010111100010011000
31102010211111000210200100
411303210331113202120
523014101420034142
6503142121135400
740553024312133
oct5634475274230
91363744023610
10398978283672
11144229926841
12653a902a560
132b814a69777
141544c60121a
15a5a1d77b4c
hex5ce4f57898

398978283672 has 96 divisors (see below), whose sum is σ = 1112053082400. Its totient is φ = 129132237312.

The previous prime is 398978283667. The next prime is 398978283701. The reversal of 398978283672 is 276382879893.

398978283672 is a `hidden beast` number, since 398 + 97 + 8 + 2 + 83 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 398978283672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1143604 + ... + 1451132.

It is an arithmetic number, because the mean of its divisors is an integer number (11583886275).

Almost surely, 2398978283672 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 398978283672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556026541200).

398978283672 is an abundant number, since it is smaller than the sum of its proper divisors (713074798728).

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

398978283672 is a wasteful number, since it uses less digits than its factorization.

398978283672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308065 (or 308058 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 398978283672 in words is "three hundred ninety-eight billion, nine hundred seventy-eight million, two hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 487 666 888 974 1332 1461 1948 2664 2922 3896 4383 5844 8766 11688 17532 18019 35064 36038 54057 72076 108114 144152 162171 216228 307529 324342 432456 615058 648684 922587 1230116 1297368 1845174 2460232 2767761 3690348 5535522 7380696 11071044 11378573 22142088 22757146 34135719 45514292 68271438 91028584 102407157 136542876 149766623 204814314 273085752 299533246 409628628 449299869 599066492 819257256 898599738 1198132984 1347899607 1797199476 2695799214 3594398952 5391598428 5541365051 10783196856 11082730102 16624095153 22165460204 33248190306 44330920408 49872285459 66496380612 99744570918 132992761224 199489141836 398978283672