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1004171358372 = 2237213199660137
BaseRepresentation
bin11101001110011010100…
…01101111000010100100
310112222221102120101102120
432213031101233002210
5112423020331431442
62045150541105540
7132356205466500
oct16471521570244
93488842511376
101004171358372
1135795960a206
12142746b582b0
1373901556930
1436860445300
151b1c2a894ec
hexe9cd46f0a4

1004171358372 has 144 divisors (see below), whose sum is σ = 2950024694400. Its totient is φ = 263505166848.

The previous prime is 1004171358349. The next prime is 1004171358373. The reversal of 1004171358372 is 2738531714001.

1004171358372 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1004171358373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1191088 + ... + 1851224.

It is an arithmetic number, because the mean of its divisors is an integer number (20486282600).

Almost surely, 21004171358372 is an apocalyptic number.

1004171358372 is a gapful number since it is divisible by the number (12) 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 1004171358372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475012347200).

1004171358372 is an abundant number, since it is smaller than the sum of its proper divisors (1945853336028).

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

1004171358372 is a wasteful number, since it uses less digits than its factorization.

1004171358372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660370 (or 660361 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 1004171358372 in words is "one trillion, four billion, one hundred seventy-one million, three hundred fifty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 199 273 294 364 398 546 588 597 637 796 1092 1194 1274 1393 1911 2388 2548 2587 2786 3822 4179 5174 5572 7644 7761 8358 9751 10348 15522 16716 18109 19502 29253 31044 36218 39004 54327 58506 72436 108654 117012 126763 217308 253526 380289 507052 660137 760578 1320274 1521156 1980411 2640548 3960822 4620959 7921644 8581781 9241918 13862877 17163562 18483836 25745343 27725754 32346713 34327124 51490686 55451508 60072467 64693426 97040139 102981372 120144934 129386852 131367263 180217401 194080278 240289868 262734526 360434802 388160556 394101789 420507269 525469052 720869604 788203578 841014538 919570841 1261521807 1576407156 1682029076 1707774419 1839141682 2523043614 2758712523 3415548838 3678283364 5046087228 5123323257 5517425046 6436995887 6831097676 10246646514 11034850092 11954420933 12873991774 19310987661 20493293028 23908841866 25747983548 35863262799 38621975322 47817683732 71726525598 77243950644 83680946531 143453051196 167361893062 251042839593 334723786124 502085679186 1004171358372