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30178188768080 = 2458336371249631
BaseRepresentation
bin1101101110010011010000…
…01110001011001101010000
310221212000011212022001122002
412313021220032023031100
512423414412311034310
6144103400222533132
76233205436051613
oct667115016131520
9127760155261562
1030178188768080
1196855528a7951
12347489a4371a8
1313aba38a60222
147648bc7c817a
1537500d4aada5
hex1b726838b350

30178188768080 has 80 divisors (see below), whose sum is σ = 71029222838784. Its totient is φ = 11922549880320.

The previous prime is 30178188768061. The next prime is 30178188768083. The reversal of 30178188768080 is 8086788187103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 30178188767998 and 30178188768016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30178188768083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23524865 + ... + 24774495.

Almost surely, 230178188768080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30178188768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35514611419392).

30178188768080 is an abundant number, since it is smaller than the sum of its proper divisors (40851034070704).

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

30178188768080 is a wasteful number, since it uses less digits than its factorization.

30178188768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253364 (or 1253358 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 65.

The spelling of 30178188768080 in words is "thirty trillion, one hundred seventy-eight billion, one hundred eighty-eight million, seven hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 3637 6640 7274 14548 18185 29096 36370 58192 72740 145480 290960 301871 603742 1207484 1249631 1509355 2414968 2499262 3018710 4829936 4998524 6037420 6248155 9997048 12074840 12496310 19994096 24149680 24992620 49985240 99970480 103719373 207438746 414877492 518596865 829754984 1037193730 1659509968 2074387460 4148774920 4544907947 8297549840 9089815894 18179631788 22724539735 36359263576 45449079470 72718527152 90898158940 181796317880 363592635760 377227359601 754454719202 1508909438404 1886136798005 3017818876808 3772273596010 6035637753616 7544547192020 15089094384040 30178188768080