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1013005902336 = 2935322875441
BaseRepresentation
bin11101011110110111101…
…10110110001000000000
310120211202010022201102120
432233123312312020000
5113044114002333321
62053211332044240
7133121142045441
oct16573366661000
93524663281376
101013005902336
1136068247190a
121443b1763680
13746ab955c3c
143705b8ab2c8
151b53d481ec6
hexebdbdb6200

1013005902336 has 160 divisors (see below), whose sum is σ = 2751337974528. Its totient is φ = 331091804160.

The previous prime is 1013005902269. The next prime is 1013005902463. The reversal of 1013005902336 is 6332095003101.

It is a junction number, because it is equal to n+sod(n) for n = 1013005902297 and 1013005902306.

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, 186177376 + ... + 186182816.

Almost surely, 21013005902336 is an apocalyptic number.

1013005902336 is a gapful number since it is divisible by the number (16) 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 1013005902336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375668987264).

1013005902336 is an abundant number, since it is smaller than the sum of its proper divisors (1738332072192).

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

1013005902336 is an equidigital number, since it uses as much as digits as its factorization.

1013005902336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7802 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The spelling of 1013005902336 in words is "one trillion, thirteen billion, five million, nine hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1272 1536 1696 2287 2544 3392 4574 5088 5441 6784 6861 9148 10176 10882 13568 13722 16323 18296 20352 21764 27136 27444 32646 36592 40704 43528 54888 65292 73184 81408 87056 109776 121211 130584 146368 174112 219552 242422 261168 288373 292736 348224 363633 439104 484844 522336 576746 585472 696448 727266 865119 878208 969688 1044672 1153492 1170944 1392896 1454532 1730238 1756416 1939376 2089344 2306984 2785792 2909064 3460476 3512832 3878752 4178688 4613968 5818128 6920952 7757504 8357376 9227936 11636256 12443567 13841904 15515008 18455872 23272512 24887134 27683808 31030016 36911744 37330701 46545024 49774268 55367616 62060032 73823488 74661402 93090048 99548536 110735232 147646976 149322804 186180096 199097072 221470464 298645608 398194144 442940928 597291216 659509051 796388288 1194582432 1319018102 1592776576 1978527153 2389164864 2638036204 3185553152 3957054306 4778329728 5276072408 6371106304 7914108612 9556659456 10552144816 15828217224 19113318912 21104289632 31656434448 42208579264 63312868896 84417158528 126625737792 168834317056 253251475584 337668634112 506502951168 1013005902336