Search a number
-
+
379319130720 = 25325809325607
BaseRepresentation
bin1011000010100010010…
…11101001101001100000
31100021002101212100200100
411201101023221221200
522203321144140340
6450131245222400
736255611261325
oct5412113515140
91307071770610
10379319130720
111369608401a2
1261621261a00
1329a00b91b9a
14145056c2b4c
159d00ed8830
hex58512e9a60

379319130720 has 144 divisors (see below), whose sum is σ = 1296030546720. Its totient is φ = 101026424832.

The previous prime is 379319130703. The next prime is 379319130761. The reversal of 379319130720 is 27031913973.

It is a happy number.

379319130720 is a `hidden beast` number, since 3 + 7 + 9 + 319 + 1 + 307 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1002157 + ... + 1327763.

It is an arithmetic number, because the mean of its divisors is an integer number (9000212130).

Almost surely, 2379319130720 is an apocalyptic number.

379319130720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379319130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648015273360).

379319130720 is an abundant number, since it is smaller than the sum of its proper divisors (916711416000).

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

379319130720 is a wasteful number, since it uses less digits than its factorization.

379319130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326437 (or 326426 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The spelling of 379319130720 in words is "three hundred seventy-nine billion, three hundred nineteen million, one hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 809 1440 1618 2427 3236 4045 4854 6472 7281 8090 9708 12135 12944 14562 16180 19416 24270 25888 29124 32360 36405 38832 48540 58248 64720 72810 77664 97080 116496 129440 145620 194160 232992 291240 325607 388320 582480 651214 976821 1164960 1302428 1628035 1953642 2604856 2930463 3256070 3907284 4884105 5209712 5860926 6512140 7814568 9768210 10419424 11721852 13024280 14652315 15629136 19536420 23443704 26048560 29304630 31258272 39072840 46887408 52097120 58609260 78145680 93774816 117218520 156291360 234437040 263416063 468874080 526832126 790248189 1053664252 1317080315 1580496378 2107328504 2370744567 2634160630 3160992756 3951240945 4214657008 4741489134 5268321260 6321985512 7902481890 8429314016 9482978268 10536642520 11853722835 12643971024 15804963780 18965956536 21073285040 23707445670 25287942048 31609927560 37931913072 42146570080 47414891340 63219855120 75863826144 94829782680 126439710240 189659565360 379319130720