Search a number
-
+
7813319004 = 22321922974973
BaseRepresentation
bin1110100011011010…
…11100100101011100
3202011112010201201100
413101231130211130
5112000202202004
63331150313100
7364423054461
oct72155344534
922145121640
107813319004
11334a462237
1216207b8790
139769702aa
14541991668
1530ae22739
hex1d1b5c95c

7813319004 has 72 divisors (see below), whose sum is σ = 20803058640. Its totient is φ = 2465793792.

The previous prime is 7813318973. The next prime is 7813319039. The reversal of 7813319004 is 4009133187.

It is a happy number.

It is a super-2 number, since 2×78133190042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7813319004.

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, 1568662 + ... + 1573634.

It is an arithmetic number, because the mean of its divisors is an integer number (288931370).

Almost surely, 27813319004 is an apocalyptic number.

It is an amenable number.

7813319004 is an abundant number, since it is smaller than the sum of its proper divisors (12989739636).

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

7813319004 is a wasteful number, since it uses less digits than its factorization.

7813319004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7299 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7813319004 is about 88392.9805131607. The cubic root of 7813319004 is about 1984.3206505540.

The spelling of 7813319004 in words is "seven billion, eight hundred thirteen million, three hundred nineteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 2297 4594 4973 6891 9188 9946 13782 14919 19892 20673 27564 29838 41346 43643 44757 59676 82692 87286 89514 94487 130929 174572 179028 188974 261858 283461 377948 392787 523716 566922 785574 850383 1133844 1571148 1700766 3401532 11422981 22845962 34268943 45691924 68537886 102806829 137075772 205613658 217036639 411227316 434073278 651109917 868146556 1302219834 1953329751 2604439668 3906659502 7813319004