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380770956090 = 232574114741423
BaseRepresentation
bin1011000101001111011…
…01111011001100111010
31100101211120201201200100
411202213231323030322
522214304331043330
6450531311020230
736336600503340
oct5424755731472
91311746651610
10380770956090
11137536307078
126196750a676
1329ba28b7855
1414602445990
159d886b9060
hex58a7b7b33a

380770956090 has 96 divisors (see below), whose sum is σ = 1159029720576. Its totient is φ = 84910590720.

The previous prime is 380770956089. The next prime is 380770956091. The reversal of 380770956090 is 90659077083.

380770956090 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 70 + 9 + 560 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380770956089) and next prime (380770956091).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (380770956091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7344882 + ... + 7396541.

It is an arithmetic number, because the mean of its divisors is an integer number (12073226256).

Almost surely, 2380770956090 is an apocalyptic number.

380770956090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

380770956090 is an abundant number, since it is smaller than the sum of its proper divisors (778258764486).

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

380770956090 is a wasteful number, since it uses less digits than its factorization.

380770956090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14741484 (or 14741481 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 380770956090 in words is "three hundred eighty billion, seven hundred seventy million, nine hundred fifty-six thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1230 1435 1722 1845 2583 2870 3690 4305 5166 8610 12915 25830 14741423 29482846 44224269 73707115 88448538 103189961 132672807 147414230 206379922 221121345 265345614 309569883 442242690 515949805 604398343 619139766 663364035 928709649 1031899610 1208796686 1326728070 1547849415 1813195029 1857419298 3021991715 3095698830 3626390058 4230788401 4643548245 5439585087 6043983430 8461576802 9065975145 9287096490 10879170174 12692365203 18131950290 21153942005 25384730406 27197925435 38077095609 42307884010 54395850870 63461826015 76154191218 126923652030 190385478045 380770956090